The table shows the kinds of homes offered by a residential builder. If the builder offers a discount on one home at random, find the probability it will be a 4 bedroom home with an open porch. Explain your reasoning.

There are a total of 8 homes being offered by the builder. Out of these 8 homes, there is only 1 that fits the description of a 4 bedroom home with an open porch. Therefore, the probability that the builder's discount will be offered on a 4 bedroom home with an open porch is:

1 favorable outcome / 8 total outcomes or 1/8

This reasoning is based on the fact that each home has an equal chance of being selected for the discount, and there is only one home that meets the specific criteria given in the problem.